Solution Found!
Water distillation with solar energy. In countries with a
Chapter 7, Problem 57E(choose chapter or problem)
Problem 57E
Water distillation with solar energy. In countries with a water shortage, converting salt water to potable water is big business. The standard method of water distillation is with a single-slope solar still. Several enhanced solar energy water distillation systems were investigated in Applied Solar Energy (Vol. 46, 2010). One new system employs a sun-tracking meter and a step-wise basin. The new system was tested over 3 randomly selected days at a location in Amman, Jordan. The daily amounts of distilled water collected by the new system over the 3 days were 5.07, 5.45, and 5.21 liters per square meter (l/m2). Suppose it is known that the mean daily amount of distilled water collected by the standard method at the same location in Jordan is = 1.4 l/m2.
a. Set up the null and alternative hypotheses for determining whether the mean daily amount of distilled water collected by the new system is greater than 1.4.
b. For this test, give a practical interpretation of the value = .10.
c. Find the mean and standard deviation of the distilled water amounts for the sample of 3 days.
d. Use the information from part c to calculate the test statistic.
e. Find the observed significance level (p-value) of the test.
f. State, practically, the appropriate conclusion.
Questions & Answers
QUESTION:
Problem 57E
Water distillation with solar energy. In countries with a water shortage, converting salt water to potable water is big business. The standard method of water distillation is with a single-slope solar still. Several enhanced solar energy water distillation systems were investigated in Applied Solar Energy (Vol. 46, 2010). One new system employs a sun-tracking meter and a step-wise basin. The new system was tested over 3 randomly selected days at a location in Amman, Jordan. The daily amounts of distilled water collected by the new system over the 3 days were 5.07, 5.45, and 5.21 liters per square meter (l/m2). Suppose it is known that the mean daily amount of distilled water collected by the standard method at the same location in Jordan is = 1.4 l/m2.
a. Set up the null and alternative hypotheses for determining whether the mean daily amount of distilled water collected by the new system is greater than 1.4.
b. For this test, give a practical interpretation of the value = .10.
c. Find the mean and standard deviation of the distilled water amounts for the sample of 3 days.
d. Use the information from part c to calculate the test statistic.
e. Find the observed significance level (p-value) of the test.
f. State, practically, the appropriate conclusion.
ANSWER:
Solution:
Step 1 of 7:
Given the daily amount of distilled water collected by the new system over the 3 days were 5.07, 5.45, and 5.21 liters per square meter (1/).
The mean is given by